Writings

 This is where I will post my mathematical articles in the future. But for now:
  • Master's thesis at McGill entitled "Holomorphic curves in projective spaces", written with Niky Kamran's supervision. It essentially explains Chern's recasting of the Nevanlinna theory in geometric terms (using the machinery of moving frames, which is well adapted to submanifold theory in general, especially for local computations). As a remark though, this geometric recasting of value distribution theory started initially with Nevanlinna's own brother.
  • "A few simple facts about the hyperbolic plane": this is very short 2-page description that explains why the hyperbolic plane has constant negative curvature (equal to -1), and why it is complete.
  • "An introduction to differential geometry": these are some short condensed notes I wrote (7 pages) for my talk with that title given at Notre Dame University on January 18, 2011.
  • "A Precursor to the Penrose Transform: the Whittaker formula". One can generate solutions to the 3-dimensional Laplace equation from holomorphic functions on a particular complex surface via a simple contour integral. (secretly, the complex surface is the total space of O(2) over CP^1, which is the minitwistor space of R^3.
  • PhD thesis, at Stony Brook, in differential geometry, dealing with hyperkahler 8-manifolds with a 2-torus acting by isometries (note that I do not require that the action be by triholomorphic isometries) with Claude LeBrun's supervision. For some details on that, please refer to my research page. I may upload it to my website, of course after submitting it to the graduate school.